/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 52 (a) plot the points, (b) find th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 52

(a) plot the points, (b) find the distance between the points, and (c) find the midpoint of the line segment joining the points. $$ (2,10),(10,2) $$

Short Answer

Expert verified
The plotted points are (2,10) and (10,2). The distance between these points is approximately 11.31 units and the midpoint of the line segment joining these points is (6,6).

Step by step solution

01

Plotting of the points

Start by plotting the points (2,10) and (10,2) on a grid. The first number in each pair is the x-coordinate and the second number is the y-coordinate.
02

Calculation of the distance

To calculate the distance between the two points, use the distance formula. This is given by: \[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]. By substituting the given coordinates into the formula, we get: \[d = \sqrt{(10-2)^2 + (2 - 10)^2}\]. After calculation, we will get the distance between the points.
03

Finding the midpoint

To find the midpoint of the line segment, use the midpoint formula which is given by: \[(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\]. Substitute the coordinates of our points into the formula, we have: \[(\frac{2+10}{2}, \frac{10+2}{2})\]. This gives us the midpoint between the points.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider the functions given by \(f(x)=x+2\) and \(f^{-1}(x)=x-2 .\) Evaluate \(f\left(f^{-1}(x)\right)\) and \(f^{-1}(f(x))\) for the indicated values of \(x .\) What can you conclude about the functions? $$ \begin{array}{|l|l|l|l|l|} \hline x & -10 & 0 & 7 & 45 \\ \hline f\left(f^{-1}(x)\right) & & & & \\ \hline f^{-1}(f(x)) & & & & \\ \hline \end{array} $$

Determine whether the function has an inverse function. If it does, find the inverse function. $$ f(x)=\frac{3 x+4}{5} $$

Use the functions given by \(f(x)=\frac{1}{8} x-3\) and \(g(x)=x^{3}\) to find the indicated value or function. $$ \left(g^{-1} \circ f^{-1}\right)(-3) $$

Write a sentence using the variation terminology of this section to describe the formula. Area of a triangle: \(A=\frac{1}{2} b h\)

The mathematical model \(y=\frac{\kappa}{x}\) is an example of _____ variation.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.